Introduction: Japanese Theories and Overview of the Chapters in This Book

This introductory chapter explains the origin of this book and provides overviews of every chapter in Parts I and II of the book. Part I of the book is aimed at explaining what multiplication and lesson study are in relation to the Japanese approach. It p

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aching Multiplication with Lesson Study Japanese and Ibero-American Theories for International Mathematics Education

Teaching Multiplication with Lesson Study

Masami Isoda  •  Raimundo Olfos Editors

Teaching Multiplication with Lesson Study Japanese and Ibero-American Theories for International Mathematics Education

Foreword by Abraham Arcavi

Editors Masami Isoda CRICED University of Tsukuba Tsukuba, Ibaraki, Japan

Raimundo Olfos Mathematics Institute Pontifical Catholic University of Valparaíso Science Faculty Valparaíso, V - Valparaiso, Chile

Adopted from the Spanish language edition: “Enseñanza de la Multiplicación: Desde el Estudio de Clases Japonés a las Propuestas Iberoamericanas”, Copyright (c) 2011, Ediciones Universitarias de Valparaíso. This book is an open access publication. ISBN 978-3-030-28560-9    ISBN 978-3-030-28561-6 (eBook) https://doi.org/10.1007/978-3-030-28561-6 © The Editor(s) (if applicable) and The Author(s) 2011, 2021 Open Access This book is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence and indicate if changes were made. The images or other third party material in this book are included in the book’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the book’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Foreword

Teacher: “Why are you doing your multiplication on the floor?” Student: “You told me not to use tables.” https://www.rd.com/jokes/math/

Numerically literate adults know how to multiply numbers, either in their heads, with paper and pencil using standard or alternative algorithms, by estimating and adjusting, or, if all else fails, by reso